Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/9406,702/5393
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 354,702
Greatest Common Factor of Numerators i.e. GCF of 354,702 is 6 .
LCM of Denominators means LCM of 9406,5393 as per the given fractions.
LCM of 9406,5393 is 50726558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,702
2 | 354, 702 |
3 | 177, 351 |
59, 117 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 354,702 . The biggest common factor number is the GCF number.
So the greatest common factor 354,702 is 6.
Lets's calculate LCM of 9406,5393
Given numbers has no common factors except 1. So, there LCM is their product i.e 50726558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/50726558
Therefore, the GCF of Fractions 354/9406,702/5393 is 6/50726558
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 9406,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9406,5393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9406,5393) x common factors =1 x 1 = 1
LCM(9406,5393) = ( 9406 × 5393 ) / 1
LCM(9406,5393) = 50726558 / 1
LCM(9406,5393) = 50726558
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 354/9406, 702/5393?
Answer: GCF of Numerators as per given numbers 354/9406, 702/5393 is
GCF of Numerators i.e. for 354,702 is 6
LCM of denominators i.e. for 9406,5393 is 50726558.
Thus, GCF of Fractions is 6/50726558.Finally, GCF of Fractions for 354/9406, 702/5393 is 6/50726558.